Sorry I should have said before hello and welcome

How old is your little one?
Does his eczema flare up with stress? Could it be that with the new baby? Are you eating differently? If you do think it is something to do with the machine maybe you could try doing a sanitising / machine cleaning wash (my machine has one if not just a 90 degree wash with a cup of vinegar in the drum and no clothes!). It is a bit strange isn't it. I'll have a think overnight too and see if I can think of anything else!